Quasi-synchronization of Takagi-Sugeno fuzzy heterogeneous stochastic delayed networks by aperiodically intermittent control based on discrete-time state observations

This article delves into the quasi-synchronization of Takagi-Sugeno fuzzy heterogeneous stochastic delayed networks (TSFHSDNs), in which an aperiodically intermittent control strategy incorporating time-varying control gains, driven by discrete-time state observations, is imposed on the networks. Compared with intermittent control strategies discussed in the existing literature, the proposed approach introduces control intervals that are determined by discrete-time state observations, enhancing the efficacy of the control process. Notably, the aperiodic nature of this intermittent control, based on discrete-time state feedback, alleviates the limitations imposed by periodicity that are characteristic of traditional intermittent control strategies. The incorporation of time-varying control gains offers the advantage of enabling the control strategy to adapt to the dynamic characteristics of the networks in real-time, thereby improving the flexibility and effectiveness of the control. Furthermore, the paper presents a robust and easily-verifiable theoretical framework for establishing the quasi-synchronization criterion of TSFHSDNs. Ultimately, the theoretical results are implemented in spring-mass-damper systems, accompanied by a numerical example to illustrate the practical relevance and efficacy of the theoretical findings.